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Finding the Third Proportional to 5,335.88 and 6,890.06

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Solution

The third proportional to 5,335.88 and 6,890.06 is: 8,896.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.88 : 6,890.06 = 6,890.06 : x
  2. Step 2: Convert to fraction form
    5,335.88/6,890.06 = 6,890.06/x
  3. Step 3: Cross multiply
    5,335.88x = 6,890.06 × 6,890.06
  4. Step 4: Simplify right side
    5,335.88x = 47,472,961.25
  5. Step 5: Solve for x
    x = 47,472,961.25/5,335.88
  6. Step 6: Final answer
    x = 8,896.94

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.